# How do you solve #log_2 x = log_4 (x+6)#?

##### 3 Answers

Using the change of base rule we have that

Only

We have to use the properties of logarithms.

#### Explanation:

which is thus reduced to a quadratic equation which can be solved by the quadratic formula to get the two roots:

For

But for

Make both sides have a base of

#### Explanation:

Change to

Notice that on the right side, the

Change the

Remember this logarithm rule.

Like before, the

Remember that in